Question

4. Show that the equation

$(3 {y}^{2} - x) + 2y( {y}^{2} - 3x) \frac{dy}{dx} = 0$


admits an integrating factor which

is a function of
$(x + {y}^{2} )$
. Hence solve the differential equation

Answer 1

i hope it helps u..if not plzz dobt report me

Answer 2

Heyy!!
Here is your answer !

Final Result :
$2x - {(x + y}^{2} ) + c( {x + {y}^{2} )}^{2} = 0$
For Calculation see Four half pics attached to it.
Where C is arbitrary constant.

Hope, you understand my answer and it helps you !